QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#276258#7875. Queue SortingshmAC ✓72ms6672kbC++141.3kb2023-12-05 18:55:012023-12-05 18:55:02

Judging History

你现在查看的是最新测评结果

  • [2023-12-05 18:55:02]
  • 评测
  • 测评结果:AC
  • 用时:72ms
  • 内存:6672kb
  • [2023-12-05 18:55:01]
  • 提交

answer

#include <iostream>
using namespace std;

const int mod=998244353,N=505;
int dp[N][N];
int a[N];

long long c[505][505]; // c[i][j] --> c[5][2]==10

void init()
{
	for(int i=0; i<505; i++)
		c[i][0] = 1;
    for(int i=1; i<505; i++)
        for(int j=0; j<=i; j++)
        {
            if(j==0)
                c[i][j]=1;
            else
                c[i][j]=(c[i-1][j]+c[i-1][j-1])%mod;
        }
}

int C(int x, int y)
{
	return c[x][y];
}

int main()
{
	init();
	int n; scanf("%d", &n);
	for(int i=1; i<=n; i++) scanf("%d", &a[i]);
	dp[0][0] = 1;
	int sum = 0;
	for(int i=0; i<n; i++,sum+=a[i])
	{
		// 全部放前面 
		for(int j=2; j<=sum; j++)
			dp[i+1][j+a[i+1]] = dp[i][j];
		dp[i+1][0] = dp[i][0];
		//枚举前面放多少个(后面至少放一个)
		for(int x=0; x<a[i+1]; x++)
		{
			//枚举剩余部分从哪个位置后面开始放 
			for(int k=1; k<=sum; k++)
			{
				for(int j=k+1; j<=sum; j++)
					dp[i+1][k+1+x] = (1ll*dp[i+1][k+1+x] + 1ll*dp[i][j] * C(j - k - 1 + a[i+1] - x - 1, a[i+1] - x - 1)) % mod;
					
				//j == 0 的情况 
				dp[i+1][k+1+x] = (1ll*dp[i+1][k+1+x] + 1ll*dp[i][0] * C(sum - k + a[i+1] - x - 1, a[i+1] - x - 1)) % mod;
			}
		}
	}

	int ans = 0;
	for(int i=0; i<=sum; i++) ans = (1ll*ans + dp[n][i]) % mod;
	cout << ans << '\n'; 
	return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 6044kb

input:

4
1 1 1 1

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 72ms
memory: 6128kb

input:

300
0 5 2 2 1 0 3 2 2 5 2 1 1 2 1 3 2 3 2 0 0 0 0 1 2 2 3 0 2 2 3 2 0 2 3 0 6 0 0 2 0 1 3 2 1 1 1 3 4 0 1 0 4 1 1 1 1 1 1 2 3 2 1 2 3 2 3 0 5 3 3 2 0 1 1 0 2 1 1 2 0 0 2 1 1 3 2 2 1 2 1 3 0 3 0 1 2 2 0 5 0 2 2 0 0 0 1 2 1 4 2 1 1 0 3 0 2 0 3 1 1 2 0 2 1 1 0 2 0 1 2 2 3 3 1 1 1 1 0 1 3 3 1 0 2 2 4 2 ...

output:

507010274

result:

ok 1 number(s): "507010274"

Test #3:

score: 0
Accepted
time: 72ms
memory: 6488kb

input:

500
1 1 0 2 1 0 2 3 2 0 0 2 0 2 1 1 0 0 1 1 1 2 1 1 1 0 1 1 2 2 1 4 0 2 1 0 2 3 1 0 1 1 0 2 1 2 2 1 0 0 3 1 4 1 1 2 1 1 0 1 3 1 2 0 0 0 2 1 2 0 0 3 2 1 1 1 1 1 2 1 0 1 0 0 0 1 0 0 2 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 2 1 1 0 1 1 0 1 1 0 0 1 0 3 1 3 0 0 2 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 2 0 0 ...

output:

7590964

result:

ok 1 number(s): "7590964"

Test #4:

score: 0
Accepted
time: 68ms
memory: 5892kb

input:

200
3 1 0 3 2 1 0 3 1 1 2 3 3 1 6 2 1 3 2 1 1 2 1 2 1 5 2 2 3 4 0 4 2 1 2 2 0 2 3 1 2 3 6 3 2 3 2 2 4 2 7 2 1 5 1 9 0 4 4 8 3 3 3 1 3 0 2 2 8 1 3 5 4 3 0 6 1 6 1 3 4 2 2 1 1 4 4 4 1 0 4 3 4 3 3 0 3 2 0 0 3 4 0 3 1 3 2 4 3 2 0 3 2 2 3 2 2 2 1 2 2 1 0 2 0 3 1 3 5 1 3 3 6 5 3 2 2 2 3 6 2 0 5 2 2 2 2 1 ...

output:

507844569

result:

ok 1 number(s): "507844569"

Test #5:

score: 0
Accepted
time: 16ms
memory: 5924kb

input:

100
4 8 2 5 4 4 3 0 2 7 2 3 4 4 1 2 3 4 4 4 3 3 3 3 3 2 4 1 3 5 5 1 4 6 1 1 1 3 2 3 2 1 0 1 4 4 2 4 2 5 3 5 1 6 2 3 3 1 4 4 4 1 4 4 3 4 2 0 2 3 6 1 3 3 5 4 1 1 2 3 0 3 2 2 1 3 3 2 5 6 3 2 3 3 5 4 2 3 4 4

output:

989550242

result:

ok 1 number(s): "989550242"

Test #6:

score: 0
Accepted
time: 1ms
memory: 5512kb

input:

1
1

output:

1

result:

ok 1 number(s): "1"

Test #7:

score: 0
Accepted
time: 0ms
memory: 6672kb

input:

500
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

output:

1

result:

ok 1 number(s): "1"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5752kb

input:

10
2 1 3 3 2 3 1 1 3 1

output:

165452340

result:

ok 1 number(s): "165452340"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5844kb

input:

20
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0

output:

2

result:

ok 1 number(s): "2"

Test #10:

score: 0
Accepted
time: 0ms
memory: 5536kb

input:

20
0 0 1 0 0 0 0 1 0 0 0 0 0 0 2 0 1 0 0 0

output:

28

result:

ok 1 number(s): "28"

Test #11:

score: 0
Accepted
time: 1ms
memory: 5572kb

input:

10
1 1 1 1 1 1 1 1 1 1

output:

16796

result:

ok 1 number(s): "16796"

Test #12:

score: 0
Accepted
time: 13ms
memory: 6316kb

input:

300
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

431279497

result:

ok 1 number(s): "431279497"

Test #13:

score: 0
Accepted
time: 26ms
memory: 5492kb

input:

2
232 268

output:

929717758

result:

ok 1 number(s): "929717758"

Test #14:

score: 0
Accepted
time: 1ms
memory: 6152kb

input:

1
500

output:

1

result:

ok 1 number(s): "1"

Test #15:

score: 0
Accepted
time: 40ms
memory: 6212kb

input:

3
155 180 165

output:

911108550

result:

ok 1 number(s): "911108550"

Extra Test:

score: 0
Extra Test Passed